Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
# | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
---|---|---|---|---|---|---|---|---|---|
1427 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ | 0.7028 | 0.8656 | 0.8119 | [M:[0.9296, 1.0235, 1.0704, 0.8826, 1.0, 0.9296], q:[0.5, 0.5704], qb:[0.4296, 0.5469], phi:[0.4883]] | [M:[[-6], [2], [6], [-10], [0], [-6]], q:[[0], [6]], qb:[[-6], [4]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.648 + 2*t^2.789 + t^2.93 + t^3. + t^3.07 + t^3.141 + t^4.042 + t^4.254 + t^4.394 + 2*t^4.465 + t^4.606 + t^4.676 + t^4.746 + t^4.817 + t^4.887 + t^5.296 + 2*t^5.437 + 3*t^5.577 + 3*t^5.718 + t^5.789 + 2*t^5.859 + 2*t^5.93 - 2*t^6. + t^6.07 - t^6.211 + t^6.282 - t^6.352 - t^6.423 + t^6.69 + 2*t^6.831 + t^6.901 + t^6.972 + 3*t^7.042 + t^7.113 + 3*t^7.183 + 3*t^7.254 + t^7.324 + 4*t^7.394 + t^7.465 + 3*t^7.535 + 2*t^7.606 + t^7.676 + 2*t^7.746 + t^7.887 + t^7.944 + 3*t^8.085 + 3*t^8.225 + t^8.296 + 5*t^8.366 + 6*t^8.507 + t^8.648 + 4*t^8.718 - 4*t^8.789 + 2*t^8.859 - t^8.93 - t^4.465/y - t^7.113/y - t^7.254/y + t^7.676/y + t^7.817/y + (2*t^8.437)/y + (2*t^8.577)/y + t^8.648/y + (3*t^8.718)/y + (3*t^8.789)/y + (2*t^8.859)/y + (3*t^8.93)/y - t^4.465*y - t^7.113*y - t^7.254*y + t^7.676*y + t^7.817*y + 2*t^8.437*y + 2*t^8.577*y + t^8.648*y + 3*t^8.718*y + 3*t^8.789*y + 2*t^8.859*y + 3*t^8.93*y | t^2.648/g1^10 + (2*t^2.789)/g1^6 + t^2.93/g1^2 + t^3. + g1^2*t^3.07 + g1^4*t^3.141 + t^4.042/g1^13 + t^4.254/g1^7 + t^4.394/g1^3 + (2*t^4.465)/g1 + g1^3*t^4.606 + g1^5*t^4.676 + g1^7*t^4.746 + g1^9*t^4.817 + g1^11*t^4.887 + t^5.296/g1^20 + (2*t^5.437)/g1^16 + (3*t^5.577)/g1^12 + (3*t^5.718)/g1^8 + t^5.789/g1^6 + (2*t^5.859)/g1^4 + (2*t^5.93)/g1^2 - 2*t^6. + g1^2*t^6.07 - g1^6*t^6.211 + g1^8*t^6.282 - g1^10*t^6.352 - g1^12*t^6.423 + t^6.69/g1^23 + (2*t^6.831)/g1^19 + t^6.901/g1^17 + t^6.972/g1^15 + (3*t^7.042)/g1^13 + t^7.113/g1^11 + (3*t^7.183)/g1^9 + (3*t^7.254)/g1^7 + t^7.324/g1^5 + (4*t^7.394)/g1^3 + t^7.465/g1 + 3*g1*t^7.535 + 2*g1^3*t^7.606 + g1^5*t^7.676 + 2*g1^7*t^7.746 + g1^11*t^7.887 + t^7.944/g1^30 + (3*t^8.085)/g1^26 + (3*t^8.225)/g1^22 + t^8.296/g1^20 + (5*t^8.366)/g1^18 + (6*t^8.507)/g1^14 + t^8.648/g1^10 + (4*t^8.718)/g1^8 - (4*t^8.789)/g1^6 + (2*t^8.859)/g1^4 - t^8.93/g1^2 - t^4.465/(g1*y) - t^7.113/(g1^11*y) - t^7.254/(g1^7*y) + (g1^5*t^7.676)/y + (g1^9*t^7.817)/y + (2*t^8.437)/(g1^16*y) + (2*t^8.577)/(g1^12*y) + t^8.648/(g1^10*y) + (3*t^8.718)/(g1^8*y) + (3*t^8.789)/(g1^6*y) + (2*t^8.859)/(g1^4*y) + (3*t^8.93)/(g1^2*y) - (t^4.465*y)/g1 - (t^7.113*y)/g1^11 - (t^7.254*y)/g1^7 + g1^5*t^7.676*y + g1^9*t^7.817*y + (2*t^8.437*y)/g1^16 + (2*t^8.577*y)/g1^12 + (t^8.648*y)/g1^10 + (3*t^8.718*y)/g1^8 + (3*t^8.789*y)/g1^6 + (2*t^8.859*y)/g1^4 + (3*t^8.93*y)/g1^2 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|
2491 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{2}M_{7}$ | 0.7051 | 0.8701 | 0.8103 | [M:[0.9231, 1.0256, 1.0769, 0.8719, 1.0, 0.9231, 0.9744], q:[0.5, 0.5769], qb:[0.4231, 0.5512], phi:[0.4872]] | t^2.616 + 2*t^2.769 + 2*t^2.923 + t^3. + t^3.154 + t^4. + t^4.231 + t^4.385 + 2*t^4.462 + t^4.615 + t^4.692 + t^4.769 + t^4.846 + t^4.923 + t^5.231 + 2*t^5.385 + 4*t^5.539 + 4*t^5.693 + t^5.769 + 2*t^5.846 + 3*t^5.923 - 3*t^6. - t^4.462/y - t^4.462*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
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Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
930 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.6972 | 0.855 | 0.8154 | [M:[0.949, 1.017, 1.051, 0.915, 1.0], q:[0.5, 0.551], qb:[0.449, 0.534], phi:[0.4915]] | t^2.745 + t^2.847 + t^2.949 + t^3. + t^3.051 + t^3.102 + t^3.153 + t^4.169 + t^4.322 + t^4.424 + 2*t^4.475 + t^4.576 + t^4.627 + t^4.678 + t^4.729 + t^4.78 + t^5.49 + t^5.592 + t^5.694 + 2*t^5.796 + 2*t^5.898 + t^5.949 - t^6. - t^4.475/y - t^4.475*y | detail |